arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2203.01229cs.LGcs.CE
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生成对抗网络在非线性模态分析中的应用

On the application of generative adversarial networks for nonlinear modal analysis

University of Sheffield(谢菲尔德大学)

G. Tsialiamanis, M. D. Champneys, N. Dervilis, D. J. Wagg, K. Worden

摘要:

线性模态分析是结构设计和分析的有效工具。然而,非线性模态分析的综合基础仍有待开发。在目前的工作中,提出了一种机器学习方案,以期进行非线性模态分析。该计划的重点是定义一个一对一的映射,从潜在的“模态”空间的自然坐标空间,同时也施加正交的模式形状。映射是通过使用最近开发的周期一致的生成对抗网络(cycle-GAN)和组装的神经网络的目标是保持所需的正交性。该方法进行了测试的模拟数据与立方非线性和不同数量的自由度的结构,也从一个实验三度的自由设置与列缓冲器非线性的数据。结果表明,该方法的有效性分离的“模式”。该方法还提供了一个非线性叠加函数,在大多数情况下具有很好的精度。

英文摘要:

Linear modal analysis is a useful and effective tool for the design and analysis of structures. However, a comprehensive basis for nonlinear modal analysis remains to be developed. In the current work, a machine learning scheme is proposed with a view to performing nonlinear modal analysis. The scheme is focussed on defining a one-to-one mapping from a latent `modal' space to the natural coordinate space, whilst also imposing orthogonality of the mode shapes. The mapping is achieved via the use of the recently-developed cycle-consistent generative adversarial network (cycle-GAN) and an assembly of neural networks targeted on maintaining the desired orthogonality. The method is tested on simulated data from structures with cubic nonlinearities and different numbers of degrees of freedom, and also on data from an experimental three-degree-of-freedom set-up with a column-bumper nonlinearity. The results reveal the method's efficiency in separating the `modes'. The method also provides a nonlinear superposition function, which in most cases has very good accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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